Polynomial based differential quadrature method for numerical solution of nonlinear Burgers' equation

2011 ◽  
Vol 348 (10) ◽  
pp. 2863-2875 ◽  
Author(s):  
Alper Korkmaz ◽  
İdris Dagˇ
Keyword(s):  
Numerical Solution ◽  
Burgers Equation ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method

scholarly journals Solution of Finite Difference Method and Differential Quadrature Method in Burgers Equation

2019 ◽  
Vol 63 (3) ◽  
pp. 1-4
Author(s):  
Amiruddin Ab. Aziz ◽  
◽  
Noor Noor Syazana Ngarisan ◽  
Nur Afriza Baki ◽  
◽  
...  
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Numerical Solution ◽  
Difference Method ◽  
Burgers Equation ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Quadrature Method ◽  
Language Program ◽  
C Language

The Finite Difference Method and Differential Quadrature Method are used to solve the partial differential equation in Burgers equation. The different number of nodes is used in these methods to investigate the accuracy. The solutions of these methods are compared in terms of accuracy of the numerical solution. C language program have been developed based on the method in order to solve the Burgers equation. The results of this study are compared in terms of convergence as well as accuracy of the numerical solution. Generally, from the numerical results show that the Differential Quadrature Method is better than the Finite Different Method in terms of accuracy and convergence.

Differential Quadrature Method in Computational Mechanics: A Review

1996 ◽  
Vol 49 (1) ◽  
pp. 1-28 ◽  
Author(s):  
Charles W. Bert ◽  
Moinuddin Malik
Keyword(s):  
Numerical Solution ◽  
Computational Mechanics ◽  
Differential Quadrature Method ◽  
Differential Quadrature ◽  
Solution Technique ◽  
General Interest ◽  
Quadrature Method ◽  
Physical Sciences ◽  
Boundary Problems ◽  
Potential Alternative

The differential quadrature method is a numerical solution technique for initial and/or boundary problems. It was developed by the late Richard Bellman and his associates in the early 70s and, since then, the technique has been successfully employed in a variety of problems in engineering and physical sciences. The method has been projected by its proponents as a potential alternative to the conventional numerical solution techniques such as the finite difference and finite element methods. This paper presents a state-of-the-art review of the differential quadrature method, which should be of general interest to the computational mechanics community.

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